A Convergence Result for a Three-Step Iterative Algorithm

A Convergence Result for a Three-Step Iterative Algorithm

We prove under some mild conditions that iterative algorithm (1.7) of [1] converges strongly to the fixed point of a member in the class of weak contraction mappings.

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  • [1] V. Karakaya, Y. Atalan, K. Do˘gan, N. El Houda Bouzara, Some fixed point results for a new three steps iteration process in Banach spaces, Fixed Point Theory, 18 (2017), 625-640.
  • [2] V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), 7-22.